Finite Group DatabasebetaFinite Group Databasebeta| order | 896 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C25 |
| direct product | D7×#476 |
| Fitting | C7×#476 ⋊ C2 |
| Sylow | C7 ⋊ C2×#476 |
480 conjugacy classes of subgroups.
| transitive degree | μt(G) = 224 |
95 conjugacy classes — view the full character table.
| maximal subgroup of | D7×#1629, D7×#1632, D7×#1635, … |
| maximal normal subgroup of | D7×#1629, D7×#1632, D7×#1635, … |
| maximal quotient of | D7×#1802, D7×#1864, D7×#1920, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(896, 13269);